λ
Harmonic Matrix

1,065,827

7 × 107 × 1423
Deficient Odd Composite

1,065,827 has digital root 2. The neighboring primes are 1065821 and 1065829; its proper-divisor sum differs from the starting integer by -901,318.

Prime Factor Structure

Factorization String 7 × 107 × 1423
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,230,336
Proper Divisor Sum 164,509
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #1065821 ← → #1065829

Radix Representation

Decimal 1065827
Binary 100000100001101100011 (21 bits)
Octal 0o4041543
Hexadecimal 0x104363

Divisor Catalog (8)

1 7 107 749 1,423 9,961 152,261 1,065,827

Collatz Trajectory (59 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

1,065,827 3,197,482 1,598,741 4,796,224 2,398,112 1,199,056 599,528 299,764 149,882 74,941 224,824 112,412 56,206 28,103 84,310 42,155 126,466 63,233 189,700 94,850 47,425 142,276 71,138 35,569 106,708 53,354 26,677 80,032 40,016 20,008 10,004 5,002 2,501 7,504 3,752 1,876 938 469 1,408 704 352 176 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

More profiles

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